Anne solved 5(2x−3)=20x+15 for x by first multiplying 5 and 2x on the left side of the equation. She got the answer x = −95. When she substituted −9/5 into the original equation her answer was incorrect. Explain Anne’s error, and find the correct answer.

Answers

Answer 1

Answer:   x=-3

Step-by-step explanation:

Anne's error is that she only multiplies 5 and 2x on the left side, she needs to multiply 5 and 2x, and also that she needs to multiply 5 and -3.

5(2x−3)=20x+15

5(2x) + 5(-3) = 20x + 15

10x - 15 = 20x + 15

-10x - 15 = 15

-10x = 30

x = -3


Related Questions

How you use the Pythagorean theorem in 3D.

Answers

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

What is the area of the triangle below (in square units)?
2 mm
14 mm

Answers

Answer:

A = 14 mm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 14 and h = 2 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 2 = 7 × 2 = 14 mm²

Graph the difference between (4.5, -1.5) and (4.5, 7.25)

Answers

Answer:

The difference is 8.75

Step-by-step explanation:

Plot the points or 7.25+1.5=8.75

The official all-time high temperature in Osoyoos, B.C., was 43°C in July 1998. The official all-time low temperature was –21°C in February 1996. What is the difference between the two temperatures? Please show all your work.

Answers

Answer: 64°C

Step-by-step explanation:

Official all-time high temperature = 43°C

Official all-time low temperature = –21°C

The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:

= 43°C - (-21°C)

= 43°C + 21°C

= 64°C

Explain how you can use proportional reasoning to determine the whole if you
know that 40 is 60% of the whole.

Answers

40=.60x
x=66.67

Now check to make sure it worked

66.67*.60=40

So the answer is 66.67

Please simplify 289/270

Answers

Answer:

1 19/270!

Step-by-step explanation:

Anywho If you need to simplify this stuff, Go to M.athway! It helps you simplify and other things!

if the domain of the function f(x)=2x^2-8 is {-2,3,5}, then the range is

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Out of 1,200 students that attend Norman Rockwell Middle School, how many would most likely sign up for after school tutoring, if 48 out of 80 students randomly surveyed said they would like to have extra help after school?

Answers

Answer:

720

Step-by-step explanation:

Out of 80 students the no. of students who sign up=48

So, out of 1200 students 48×1200÷80=720 students sign up.

Find the square root for y=-2(x-5)(x+7)?

Answers

12 I think I’m not sure just a guess

jane and kate share $240 in the ratio 5:7. show that kate receives $140

Answers

Answer:

$140

Step-by-step explanation:

5 + 7 = 12

240/12 = 20

20 x 7 = $140

Hope this helps!!

Help with 8 pls thanks

Answers

Answer:

m<Y = 68°

Step-by-step explanation:

A tangent drawn to a circle makes a 90° angle with the radius that intersects it at the point of tangency. That means that m<X = 90°.

The sum of the measures of the angles of a triangle is 180°.

m<X + m<Y + m<Z = 180

90 + m<Y + 22 = 180

m<Y + 112 = 180

m<Y = 180 - 112

m<Y = 68

Add (8x - 7) + (6x + 8). simplify your answer.

Answers

Answer:

14x+1

Step-by-step explanation:

you combined like terms

8x and 6x are like terms so 8x+6x=14x

8 and (-7) are like terms so 8+(-7)=1

Answer: 14x+1

Step-by-step explanation:


The graph of y = 8x + 16 is shown. Which statement is true about the function?

Answers

Answer:

A, The function has exactly one zero at x = -4

Step-by-step explanation:

As you can from the graph, the graph ONLY touches y = 0 at ONLY x = -4.

the function has exactly one zero at -4

A bakery offers a sale price of $3.50 for muffins. what is the price per dozen?

Answers

Answer:

$42 dollars is the cost per dozen.

Step-by-step explanation:

3.50 is the cost for ONE muffin and we know that 12 goes into a dozen. Simply multiple 3.50 by 12 (3.50 X 12) to get your answer 42.

Answer:

42 dollars

Step-by-step explanation:

A dozen is equal to 12. A muffin is equal to 3.5 dollars each. Therefore, you have to multiply them together. 12 times 3.5 is equal to 42. Therefore, it is 42 dollars a dozen.

If this helps please mark as brainliest

If 2x – 7y = 10 is a true equation, what would be the value of 2 + 2x – 7y?

Answers

Answer:

I believe that would be 12 because

Step-by-step explanation:

if 2x - 7y = 10

then if you were to add two to that it would be 12

bill bowled 3 games at a bowling alley and rented shoes, spending a total of $9.00. leann bowled 5 games at a the bowling alley and rented shoes, spending a total of $14.00. how much does it cost to bowl a game

Answers

The cost to bowl a game is $2.5.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let g  represent the cost of bowling a game and s represent the cost of renting shoes.

Bill bowled 3 games at a bowling alley and rented shoes, spending a total of $9.00

3g+s=9..(1)

Leann bowled 5 games at a the bowling alley and rented shoes, spending a total of $14.00.

5g+s=14..(2)

Subtract equation 2 from 1

3g+s-5g-s=9-14

-2g=-5

Divide both sides by 2

g=2.5

Hence, the cost to bowl a game is $2.5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

HELPPPP PLEASEEE!!!!!!

Answers

Answer:

24.5

Step-by-step explanation:

please give me brainliest

−(x − 7)+ 5/3 = 2(x + 9)

Answers

The number I believe you are looking for would be an exact form of -28/9
Or a decimal form would be -3.1 repeating

Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS

Answers

Answer:

9/10

Step-by-step explanation:

To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.

Gabe bought 4 books about animals, 2 books about outer space, and 3 books about trains. Each book cost \$5 . How much did Gabe spend on the books?

Answers

Answer:

45$RsAmountjjfjjdjehsvebhehehe

Please help PLEASEEEEEEEEE ​

Answers

Answer:

15

Step-by-step explanation:

You know that it takes 3 mins for 45 sit-ups so then you wanna find how much for 1 minute. It shows 3 mins which is 3 times as much as 1 minute. There, 3/3 = 1. then you have to do it with the sit-ups too. so 45/3 = 15

HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS
for number 4 because it has select, the select are


first one under C) 66, 64, 67, 65

under B) 24, 23, 26, 25

under A) 15, 16, 17, 18

lowest under C) 40, 41, 42, 39

Answers

Answer:

c is the right answer of this

Answer:

The first blank: 65

The second blank: 24

The third blank: 16

The last blank is: 41

Step-by-step explanation:

The Phthagorean theorm is as follows: c^2=a^2+b^2

Where a and b are the legs of the triangle and c is the hypotenuse

To fill in the first blank space you need to find c, and it's given a and b: a=25 b=60

You substitute the known values into the equation of the Pythagorean theorm: c^2=25^2+60^2

And solve to find c

c^2=4225

c=

[tex] \sqrt{4225} [/tex]

c=65

The answer for the first blank

For the second blank you given a and c: a=7 c=25

Substitute the value into Pythagorean theorm:c^2=a^2+b^2

25^5=7^2+b^2

625=49+b^2

To solve b you got to subtract 49 to both sides

625-49=b^2

576=b^2

[tex] \sqrt{576} = b[/tex]

24=b

Which is your answer

For the third blank its given b and c: b=30 c=34

Substitute the value into Pythagorean theorm

c^2=a^2+b^2

34^2=a^2+30^2

Solve the exponential terms: 1156=a^2+900

Then you solve the variable that you need to find. In this case, you got to solve a^2 by subtracting 900 of both sides of the equation:1156-900=a^2

256=a^2

[tex] \sqrt{256 = a} [/tex]

16=a which is your answer

Finally your last blank,its given the values and b

a=9

b=40

Substitute the value into Pythagorean theorm

c^2=9^2+40^2

And solve for c

c^2=81+1600

c^2=1681

[tex]c = \sqrt{1681} [/tex]

Which gives you c=41 which is your answer

Let me know if this helps

If the simple interest on $8000 for 3 years is $540, what is the rate of interest per annum?​

Answers

Answer:

2.25%

Step-by-step explanation:

I = Prt

Given:

I = 540

P = 8000

t = 3

Solve for r:

I = Prt

r = I/(Pt)

r = 540/(8000 * 3)

r = 540/24000

r = 0.0225

Rate in percentage form:

0.0225 * 100 = 2.25%

[tex]x^{2} +30x-60000[/tex]

Answers

Step-by-step explanation:

hello , can you please tell us what the equation is asking you to do . this way we can help you properly

In the accompanying diagram, the legs of right angle triangle abc are 4 and 3 the hypotenuse is 5 what is the value of tan a

Answers

can you please explain a little more i’m not fully understanding

Answer:3/5

Step-by-step explanation:

A classroom had 35 glue sticks.If the ratio of glue sticks to glue bottles was 5:2 how many glue bottles did the classroom have​

Answers

Answer:

14

Step-by-step explanation:

35÷5=7

2×7=14

hope this helps

Answer:

14

Step-by-step explanation:

35÷5=7

7×2= 14

ya welcome

GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

Some people are disgusting, sorry someone commented that. The answer is 3240 I believe. here is a picture of my rabbit to take your mind off of it. Have a wonderful day :)

The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 6th term of the same GP is 324 ,find common ratio

Answers

Complete Question

The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio

Answer:

3

Step-by-step explanation:

The formula for Number of term of a GP = ar^n-1

The sum of 3rd and 4th terms of GP is 108

ar² + ar³ = 108... Equation 1

ar²(1+ r) = 108 ..... Equation 1

The sum of 4th and 5th term of the same GP is 324 ,

ar³ + ar⁴= 324... Equation 2

ar³ (1 + r) = 324..... Equation 2

find common ratio

ar²(1+ r) = 108 ..... Equation 1

ar³ (1 + r) = 324..... Equation 2

Solving for r

ar²(1+ r)/ar³ (1 + r) = 108/324

1/r = 1/3

r = 3

Hence, Common ratio = 3

PLEASE ANSWER QUICK!!

Answers

It’s A
Explanation: hope this helps!

What are the distances from the point (x,y) to the focus of the parabola and the directrix, select two answers

Answers

Answer:

3,5

Step-by-step explanation:

axis

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